A polygon has 1377 diagonal determine the number of sides of polygon
Answers
Answer:
The number so sides of the polygon is 14. ... Therefore, The number so sides of the polygon is 14.
Answer:
The number of sides of a polygon with 1377 diagonals is 54.
Step-by-step explanation:
- To find the 'n' number of sides of a polygon with 'd' number of diagonals.
- We have a formula
(n(n-3))/2 = d
here n = n and d= 1377
(n(n-3))/2 = 1377
n²-3n=2754
n²-3n-2754=0
to find the value of n
we use the formula of finding roots of a quadratic equation
n = (-b±√b²-4ac)/2a
In the above equation a=1, b=-3, c=-2754
n = (3±√3²-4(1)(2754))/2(1)
n = (3±√11025)/2
n = (3±105)/2
As a polygon's side is counted, it should be a positive number.
So, we consider the positive value
n = (3+105)/2
n = 108/2
n = 54
Hence the no. of sides of polygon = 54
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